A C-OWA Operator-based Method for Aggregating Intuitionistic Fuzzy Information and Its Application to Decision Making under Uncertainty

Abstract An IFS is suitable way to deal with uncertainty, but operators on it are complex in computation even though they work well. This study presents a C-OWA operator-based method to make aggregation over intuitionistic fuzzy information more easy and convenient, and then applies it to complicated decision making under uncertainty. IFNs or IIFNs are transformed into intervals which are easy to be aggregated to real values according to the risk preference of decision makers by C-OWA operator. In this way an uncertain decision problem might be converted into a certain one which is much easier to solve. Experimental study examines the feasibility and validity of the presented method.

[1]  Janusz Kacprzyk,et al.  A consensus‐reaching process under intuitionistic fuzzy preference relations , 2003, Int. J. Intell. Syst..

[2]  Ranjit Biswas,et al.  Some operations on intuitionistic fuzzy sets , 2000, Fuzzy Sets Syst..

[3]  Janusz Kacprzyk,et al.  Intuitionistic Fuzzy Sets in some Medical Applications , 2001, Fuzzy Days.

[4]  Janusz Kacprzyk,et al.  A Similarity Measure for Intuitionistic Fuzzy Sets and Its Application in Supporting Medical Diagnostic Reasoning , 2004, ICAISC.

[5]  Zeshui Xu,et al.  Intuitionistic preference relations and their application in group decision making , 2007, Inf. Sci..

[6]  Ronald R. Yager,et al.  OWA aggregation over a continuous interval argument with applications to decision making , 2004, IEEE Transactions on Systems, Man, and Cybernetics, Part B (Cybernetics).

[7]  R. Wilsnack.  Information Control , 1980 .

[8]  Krassimir T. Atanassov,et al.  Intuitionistic fuzzy sets , 1986 .

[9]  Zeshui Xu,et al.  The continuous ordered weighted geometric operator and its application to decision making , 2006, Fuzzy Sets Syst..

[10]  Deng-Feng Li,et al.  Multiattribute decision making models and methods using intuitionistic fuzzy sets , 2005, J. Comput. Syst. Sci..

[11]  Ronald R. Yager,et al.  Intuitionistic fuzzy interpretations of multi-criteria multi-person and multi-measurement tool decision making , 2005, Int. J. Syst. Sci..

[12]  Ronald R. Yager,et al.  On ordered weighted averaging aggregation operators in multicriteria decisionmaking , 1988, IEEE Trans. Syst. Man Cybern..

[13]  Chen Hua-you.  Induced Ordered Weighted Harmonic Averaging(IOWHA)Operator and Its Application to Combination Forecasting Method , 2004 .

[14]  Chengyi Zhang,et al.  Similarity measures on three kinds of fuzzy sets , 2006, Pattern Recognit. Lett..

[15]  Ronald R. Yager,et al.  On ordered weighted averaging aggregation operators in multicriteria decision-making , 1988 .

[16]  Ioannis K. Vlachos,et al.  Intuitionistic fuzzy information - Applications to pattern recognition , 2007, Pattern Recognit. Lett..

[17]  Zeshui Xu,et al.  Intuitionistic Fuzzy Aggregation Operators , 2007, IEEE Transactions on Fuzzy Systems.

[18]  Janusz Kacprzyk,et al.  Using intuitionistic fuzzy sets in group decision making , 2002 .

[19]  Zeshui Xu,et al.  Some geometric aggregation operators based on intuitionistic fuzzy sets , 2006, Int. J. Gen. Syst..

[20]  Wang Hui.  A class of continuous ordered weighted harmonic(C-OWH) averaging operators for interval argument and its applications , 2008 .

[21]  Diyar Akay,et al.  A multi-criteria intuitionistic fuzzy group decision making for supplier selection with TOPSIS method , 2009, Expert Syst. Appl..

[22]  Xu Ze.  Extended C2OWA Operators and Their Use in Uncertain Multi2Attribute Decision Making , 2005 .

[23]  XU Ze-shui,et al.  Extended C-OWA Operators and Their Use in Uncertain Multi-Attribute Decision Making , 2005 .